Mining and indexing graphs for supergraph search

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Abstract

We study supergraph search (SPS), that is, given a query graph qand a graph database G that contains a collection of graphs, returngraphs that have q as a supergraph from G. SPS has broad applicationsin bioinformatics, cheminformatics and other scientific andcommercial fields. Determining whether a graph is a subgraph (orsupergraph) of another is an NP-complete problem. Hence, it is intractableto compute SPS for large graph databases. Two separateindexing methods, a "filter + verify"-based method and a "prefixsharing"-based method, have been studied to efficiently computeSPS. To implement the above two methods, subgraph patterns aremined from the graph database to build an index. Those subgraphsare mined to optimize either the filtering gain or the prefix-sharinggain. However, no single subgraph-mining algorithm considersboth gains. This work is the first one to mine subgraphs to optimize boththe filtering gain and the prefix-sharing gain while processing SPSqueries. First, we show that the subgraph-mining problem is NPhard. Then, we propose two polynomial-time algorithms to solvethe problem with an approximation ratio of 1-1/e and 1/4 respectively. In addition, we construct a lattice-like index, LW-index, toorganize the selected subgraph patterns for fast index-lookup. Ourexperiments show that our approach improves the query processingtime for SPS queries by a factor of 3 to 10.

Original languageEnglish (US)
Pages (from-to)829-840
Number of pages12
JournalProceedings of the VLDB Endowment
Volume6
Issue number10
DOIs
StatePublished - Aug 2013

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All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computer Science(all)

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